The formula to calculate the angle between the diagonal and the length of a rectangle is:
\[ \angle_{dl} = \arctan\left(\frac{b}{l}\right) \]
Where:
The angle between the diagonal and the length of a rectangle is the measure of the angle made by any diagonal with the length of the rectangle.
The breadth of the rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.
The length of the rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
Let's assume the following values:
Using the formula:
\[ \angle_{dl} = \arctan\left(\frac{6}{8}\right) \approx 0.6435 \, \text{radians} \]
The angle is approximately 0.6435 radians.
| Breadth (meters) | Length (meters) | Angle (radians) |
|---|---|---|
| 5 | 7 | 0.6202 |
| 5 | 8 | 0.5586 |
| 5 | 9 | 0.5071 |
| 6 | 7 | 0.7086 |
| 6 | 8 | 0.6435 |
| 6 | 9 | 0.5880 |
| 7 | 7 | 0.7854 |
| 7 | 8 | 0.7188 |
| 7 | 9 | 0.6610 |